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Finding the Fourth Proportional to 197,762.64, 296,643.78 and 79,434

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Solution

The fourth proportional to 197,762.64, 296,643.78 and 79,434 is: 119,150.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,762.64 : 296,643.78 = 79,434 : x
  2. Step 2: Convert to fraction form
    197,762.64/296,643.78 = 79,434/x
  3. Step 3: Cross multiply
    197,762.64x = 296,643.78 × 79,434
  4. Step 4: Simplify right side
    197,762.64x = 23,563,602,020.52
  5. Step 5: Solve for x
    x = 23,563,602,020.52/197,762.64
  6. Step 6: Final answer
    x = 119,150.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.